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Finding the Third Proportional to 42,751.50 and 93,549

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Solution

The third proportional to 42,751.50 and 93,549 is: 204,704.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,751.50 : 93,549 = 93,549 : x
  2. Step 2: Convert to fraction form
    42,751.50/93,549 = 93,549/x
  3. Step 3: Cross multiply
    42,751.50x = 93,549 × 93,549
  4. Step 4: Simplify right side
    42,751.50x = 8,751,415,401
  5. Step 5: Solve for x
    x = 8,751,415,401/42,751.50
  6. Step 6: Final answer
    x = 204,704.29

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.